4028270400 has 1008 divisors, whose sum is σ = 18742639680. Its totient is φ = 832204800.

The previous prime is 4028270399. The next prime is 4028270423. The reversal of 4028270400 is 40728204.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23284714 + ... + 23284886.

Almost surely, 2^4028270400 is an apocalyptic number.

4028270400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4028270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9371319840).

4028270400 is an abundant number, since it is smaller than the sum of its proper divisors (14714369280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4028270400 is a wasteful number, since it uses less digits than its factorization.

4028270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4028270400 is about 63468.6568315417. The cubic root of 4028270400 is about 1591.1319813771.

Adding to 4028270400 its reverse (40728204), we get a palindrome (4068998604).

The spelling of 4028270400 in words is "four billion, twenty-eight million, two hundred seventy thousand, four hundred".